480153225 has 24 divisors (see below), whose sum is σ = 795436192. Its totient is φ = 255571200.

The previous prime is 480153197. The next prime is 480153241. The reversal of 480153225 is 522351084.

It is not a de Polignac number, because 480153225 - 2⁸ = 480152969 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 480153192 and 480153201.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33105 + ... + 45345.

Almost surely, 2^480153225 is an apocalyptic number.

It is an amenable number.

480153225 is a deficient number, since it is larger than the sum of its proper divisors (315282967).

480153225 is a wasteful number, since it uses less digits than its factorization.

480153225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777 (or 12772 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 480153225 is about 21912.3988873879. The cubic root of 480153225 is about 783.0568326473.

The spelling of 480153225 in words is "four hundred eighty million, one hundred fifty-three thousand, two hundred twenty-five".